72675456 has 128 divisors (see below), whose sum is σ = 232396800. Its totient is φ = 19657728.

The previous prime is 72675451. The next prime is 72675509. The reversal of 72675456 is 65457627.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (72675451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50361 + ... + 51783.

It is an arithmetic number, because the mean of its divisors is an integer number (1815600).

Almost surely, 2^72675456 is an apocalyptic number.

72675456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116198400).

72675456 is an abundant number, since it is smaller than the sum of its proper divisors (159721344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72675456 is a wasteful number, since it uses less digits than its factorization.

72675456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1454 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 72675456 is about 8524.9900879708. The cubic root of 72675456 is about 417.3136481736.

The spelling of 72675456 in words is "seventy-two million, six hundred seventy-five thousand, four hundred fifty-six".